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Finding the Fourth Proportional to 670.18, 923.61 and 495.46

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Solution

The fourth proportional to 670.18, 923.61 and 495.46 is: 682.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.18 : 923.61 = 495.46 : x
  2. Step 2: Convert to fraction form
    670.18/923.61 = 495.46/x
  3. Step 3: Cross multiply
    670.18x = 923.61 × 495.46
  4. Step 4: Simplify right side
    670.18x = 457,611.81
  5. Step 5: Solve for x
    x = 457,611.81/670.18
  6. Step 6: Final answer
    x = 682.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.